Question

Integral $\int_0^1\ln^2(t)\psi^8(-t)dt=\frac{7}{8}\zeta(3)$

score 137 · Answer 1 · 2026-03-25 19:06:30

137

Views

Integral $\int_0^1\ln^2(t)\psi^8(-t)dt=\frac{7}{8}\zeta(3)$

Published on 25 Mar 2026 - 19:06

score 145 · Answer 2 · 2026-03-25 23:39:10

145

Views

How to compute $\sum_{n=0}^{\infty} \frac{(-1)^n}{\cosh((n+\frac{1}{2}) \pi)}$

Published on 25 Mar 2026 - 23:39

score 94 · Answer 3 · 2026-03-25 19:05:14

94

Views

Does the theory of theta functions ever go beyond just random caulculations and ugly formulas?

Published on 25 Mar 2026 - 19:05

score 139 · Answer 4 · 2026-03-25 19:02:38

139

Views

Close form expression for an integral with z derivative of jacobi theta function

Published on 25 Mar 2026 - 19:02

score 37 · Answer 5 · 2026-03-25 19:02:44

37

Views

How does Jacobi form lives projectively on the torus $\mathbb{C}/(\mathbb{Z}+\tau \mathbb{Z})$?

Published on 25 Mar 2026 - 19:02

score 46 · Answer 6 · 2026-03-25 19:09:52

46

Views

Understanding the proof of Theorem 10.1 in Montgomery & Vaughan's Multiplicative Number Theory

Published on 25 Mar 2026 - 19:09

score 188 · Answer 7 · 2026-03-25 19:05:13

188

Views

Mistake computing $\sum_{n=1}^{+\infty} \frac{n}{e^{2\pi n}-1} = \frac{1}{24}-\frac{1}{8\pi}$

Published on 25 Mar 2026 - 19:05

score 24 · Answer 8 · 2026-03-25 23:42:39

24

Views

What is the transformation formula of Theta series associated the quadratic form over totally real field?

Published on 25 Mar 2026 - 23:42

score 195 · Answer 9 · 2026-03-25 19:05:46

195

Views

How to prove the equality of power series below?

Published on 25 Mar 2026 - 19:05

score 97 · Answer 10 · 2026-03-25 19:01:37

97

Views

Residue theorem and theta function identities

Published on 25 Mar 2026 - 19:01

score 216 · Answer 11 · 2026-03-25 19:00:29

216

Views

Derivation of Transformation for basic theta function

Published on 25 Mar 2026 - 19:00

score 213 · Answer 12 · 2026-03-26 01:29:03

213

Views

Mumford's proof of theta function convergence

Published on 26 Mar 2026 - 1:29

score 42 · Answer 13 · 2026-03-25 19:01:01

42

Views

Does this function appear in theory of modular forms?

Published on 25 Mar 2026 - 19:01

score 131 · Answer 14 · 2026-04-10 10:58:13

131

Views

A special case of triple product identity

Published on 10 Apr 2026 - 10:58

score 78 · Answer 15 · 2026-04-15 13:48:22

78

Views

Is there a limiting case for this sequence of infinite product representations for the theta function?

Published on 15 Apr 2026 - 13:48

List Question

Integral $\int_0^1\ln^2(t)\psi^8(-t)dt=\frac{7}{8}\zeta(3)$

How to compute $\sum_{n=0}^{\infty} \frac{(-1)^n}{\cosh((n+\frac{1}{2}) \pi)}$

Does the theory of theta functions ever go beyond just random caulculations and ugly formulas?

Close form expression for an integral with z derivative of jacobi theta function

How does Jacobi form lives projectively on the torus $\mathbb{C}/(\mathbb{Z}+\tau \mathbb{Z})$?

Understanding the proof of Theorem 10.1 in Montgomery & Vaughan's Multiplicative Number Theory

Mistake computing $\sum_{n=1}^{+\infty} \frac{n}{e^{2\pi n}-1} = \frac{1}{24}-\frac{1}{8\pi}$

What is the transformation formula of Theta series associated the quadratic form over totally real field?

How to prove the equality of power series below?

Residue theorem and theta function identities

Derivation of Transformation for basic theta function

Mumford's proof of theta function convergence

Does this function appear in theory of modular forms?

A special case of triple product identity

Is there a limiting case for this sequence of infinite product representations for the theta function?

Trending Questions

Popular # Hahtags

Popular Questions